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#91
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On Thu, 25 Sep 2003 15:58:11 GMT, Richard Clark
wrote: On Thu, 25 Sep 2003 06:45:29 -0400, wrote: Let's just all go metric. The only really confusing measure there seems to be the definition of the litre. ...Keith Hi Keith, You mean liter? ;-) Up there in the Great White North, they use those dinky little "litres" where it takes 4.54609 of them to make a gallon, rather than the man-sized liters we have, which only take 3.785411784 to make a gallon. ;-) Unless, of course, you are talking about blueberries, where we use an inbetween liter where it takes 4.40488377086 liters to make a gallon (which we actually don't use much under that name any more, though we do still use its quart and pint subdivisions). Gene Nygaard |
#92
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"Fundamentals of Physics", Haliday and Resnick, Second Edition, 1981
Appendix F, Conversion Factors Mass "Quantities in the colored areas [ounce, pound, ton] are not mass units but are often used as such. When we write, for example 1 kg "=" 2.205 lb this means that a kilogram is a _mass_ that _weighs_ 2.205 pounds under standard condition of gravity (g = 9.80665 m/s^2)." The units dyne, Newton, pound, and poundal are listed elsewhere in Appendix F as units of force. 73, AC6XG Gene Nygaard wrote: On Thu, 25 Sep 2003 12:13:47 GMT, Dave Shrader wrote: Gene, thanks for the compliment in calling the Program Chief Engineer of the USAF MX [Peacekeeper] Re-Entry System/Re-Entry Vehicle a fool. It says a lot about you. I forgive you. Dave, W1MCE + + + Gene Nygaard wrote: not concerned enough about the possibility that fools like you Since you aren't honest enough to tell us exactly what Sears and Zemansky said in 1956, I'll tell everyone what they said in 1970. If there are any significant differences, feel free to point them out. This thing is, I know that Sears and Zemansky weren't going to lie about this, because they grew up using poundals, which are by definition the force which will accelerate a MASS of 1 lb at a rate of 1 ft/s². Francis Weston Sears and Mark W. Zemansky, University Physics, Addison-Wesley, 4th ed., 1970. [page 3] 1 pound mass = 1 lbm = 0.45359237 kg [The actual number will, of course, be different in 1956, because the U.S. didn't adopt this definition until 1959 (it had been in use in Canada since 1953, six years before the international redefinition).--GAN] [page 4] We select as a standard body the standard pound, defined in section 1-2 as a certain fraction (approximately 0.454) of a standard kilogram. [page 59] In setting up the mks and cgs systems, we first selected units of mass and acceleration, and defined the unit of force in terms of these. In the British engineering system, we first select a unit of force (1 lb) and a unit of acceleration (1 ft s^-2) and then define the unit of mass as the mass of a body whose acceleration is 1 ft s^-2 when the resultant force on the body is 1 lb. end quote Now, Sears and Zemansky might be incompetent for not allowing for the fact that there are going to be people out there who are too blamed stupid to understand that that adjectival phrase "British engineering" has some meaning, and that it identifies one particular limited subset of the British units. It's perhaps even understandable, because that fact would be quite clear to anyone who, like them, had grown up using poundals in a "British absolute" system of units. However, that doesn't change the fact that you are in fact one of the people who are that stupid. -- Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ "It's not the things you don't know what gets you into trouble. "It's the things you do know that just ain't so." Will Rogers |
#93
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![]() Gene Nygaard wrote: Up there in the Great White North, they use those dinky little "litres" where it takes 4.54609 of them to make a gallon, rather than the man-sized liters we have, which only take 3.785411784 to make a gallon. ;-) I suspect it's not the litre which is different, but the gallon which is different. The British Imperial Gallon occupies 277.4 in^3, while the gallon you're thinking of occupies 231 in^3. What's your opinion of converting US speedometers from miles/hr to furlongs/fortnight? 73, AC6XG |
#94
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Jim Kelley wrote:
"Quantities in the colored areas [ounce, pound, ton] are not mass units but are often used as such. What is the mass of a banana slug in slugs? -- 73, Cecil, W5DXP |
#95
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![]() Cecil Moore wrote: Jim Kelley wrote: "Quantities in the colored areas [ounce, pound, ton] are not mass units but are often used as such. What is the mass of a banana slug in slugs? Ask somebody at UC Santa Cruz. ;-) 73, ac6xg |
#96
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You are equating pound and POUNDAL ['pound mass']. They are two
different things. ---------------------------------------- Sears and Zemansky, 1956, Table 5-1, page 77 Systems of units Force Mass Acceleration Engineering pound Slug ft/sec^2 mks newton kilogram m/sec^2 cgs dyne gram cm/sec^2 ---------------------------------------- "One standard pound, by definition, is a body of mass 0.4535924277 kg." "Since the weight of a body is a force, it must be expressed in units of force. Thus in the engineering system weight is expressed in POUNDS; in the mks system, in Newtons; and in the cgs system, in dynes." Unless you disagree with Newton's Second Law, F=ma, Force [pounds] and mass [slugs] are related by acceleration [of gravity, for example]. So, my weight [240 pounds] = my mass [7.45 slugs]*[gravity of 32.2 ft/sec^2]. ----------------------------------------- If you want to argue, go ahead. I cited a source as you asked. Now you choose to disagree with that source. My final comment: Does a newton[force] = a kilogram[mass]?? -------------- Conclusion: Force = pounds, or newtons, or dynes. Mass = Slug, or kilogram, or gram Acceleration = ft/sec^2, or m/sec^2, or cm/sec^2 ---------------------------------------- Don't be so everbearing! It does not become you or enhance you statements. |
#97
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Gene Nygaard wrote:
On Thu, 25 Sep 2003 15:58:11 GMT, Richard Clark wrote: On Thu, 25 Sep 2003 06:45:29 -0400, wrote: Let's just all go metric. The only really confusing measure there seems to be the definition of the litre. ...Keith Hi Keith, You mean liter? ;-) It has to be litre so that it can rhyme with metre. Up there in the Great White North, they use those dinky little "litres" where it takes 4.54609 of them to make a gallon, rather than the man-sized liters we have, which only take 3.785411784 to make a gallon. ;-) Unless, of course, you are talking about blueberries, where we use an inbetween liter where it takes 4.40488377086 liters to make a gallon (which we actually don't use much under that name any more, though we do still use its quart and pint subdivisions). We also have the Texas sized foot of 12.789 inches (legal for surveying only in Quebec, they say). But it seems that in the great country to the south there are also two definitions for the foot: 0.3048 meter and 1200/3937 meter. When I buy a tape measure made in the U.S.A. am I getting long feet or short feet? ....Keith |
#99
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On Thu, 25 Sep 2003 11:51:47 -0700, Jim Kelley
wrote: "Fundamentals of Physics", Haliday and Resnick, Second Edition, 1981 Appendix F, Conversion Factors Mass "Quantities in the colored areas [ounce, pound, ton] are not mass units but are often used as such. When we write, for example 1 kg "=" 2.205 lb this means that a kilogram is a _mass_ that _weighs_ 2.205 pounds under standard condition of gravity (g = 9.80665 m/s^2)." The units dyne, Newton, pound, and poundal are listed elsewhere in Appendix F as units of force. 73, AC6XG Apparently Halliday and Resnick were a lot smarter a couple of decades earlier, when they were only a little past their prime: Robert Resnick and David Halliday, Physics For Students of Science and Engineering, John Wiley & Sons, 1960. [page 10] Legally, the pound is a unit of mass. But in engineering practice the pound is treated as a unit of force or weight. This has given rise to the terms pound-mass and pound- force. The pound mass is a body of mass 0.45359237 kg; no standard block of metal is preserved as the pound- mass, but like the yard it is defined in terms of the mks standard. The pound-force is the force that gives a standard pound an acceleration equal to the standard acceleration of gravity, 32.1740 ft/sec². So what are you going to believe? The main text of a book which actually uses pounds? Or something hidden away in an appendix (which the authors likely assinged some secretary to put together for them), in a book which doesn't even use pounds? Now go back in the book you have, and take a look at some of the earlier stuff in it. [page 356] In the engineering system the unit of heat is the British thermal unit (Btu), which is defined as the heat necessary to raise the temperature of one pound of water from 63 to 64°F. How much water? You don't think that this is the amount of water that exerts a certain amount of force due to gravity, do you? What about when they give specific heat capacity in units expressed in as Btu/lb °F in this book? What the hell do you suppose those units in the denominator are? The corresponding metric unit in their book are "cal/g°C"; does that give you any clues? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ |
#100
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On Thu, 25 Sep 2003 20:06:37 GMT, Dave Shrader
wrote: You are equating pound and POUNDAL ['pound mass']. They are two different things. Good grief! Go find a dictionary, or a physics book published before 1940 (and a number of them published later as well, it's just that for the 60 years before then it's a virtual certaintly that you'll see poundals used in these textbooks). Poundals are unit of force. Not units of mass. A poundal is not a pound mass; it is not mass at all. A poundal is also not a pound force. In fact, it takes 32.16 pdl or 32.1740... pdl or 32.175 pdl, or something in that neighborhood, to make a pound force. The exact number will depend on how you choose to define a pound force, which doesn't even have an official definition. The de facto standard today is to define it so that it has the same relationship to a pound as a kilogram force has to a kilogram. Or, that a pound force has the same relationship to a kilogram force as a pound has to a kilogram. That's what I'll use for any other related numbers below. ---------------------------------------- Sears and Zemansky, 1956, Table 5-1, page 77 Systems of units Force Mass Acceleration Engineering pound Slug ft/sec^2 mks newton kilogram m/sec^2 cgs dyne gram cm/sec^2 ---------------------------------------- Still too ****ing dumb to see any adjective there, identifying a particular subset of English units? Even after it has been specifically pointed out to you? You know, I was tempted to give you the benefit of the doubt, and assume that this had been sent before you had a chance to read my discussion of the 1970 edition of Sears and Zemansky. But then I double checked, not only that it graphically appeared to below that message on my newsreader, but also that your message did indeed in References the message ID of that one in which I discussed the 1970 ecition. "One standard pound, by definition, is a body of mass 0.4535924277 kg." I told you the number would be different, didn't I--but that S&Z would not lie to you about the fact that pounds are units of mass. "Since the weight of a body is a force, it must be expressed in units of force. Thus in the engineering system weight is expressed in POUNDS; in the mks system, in Newtons; and in the cgs system, in dynes." Do you see any adjective modifying "system" here, in each of the three times it is used? Does the existence of a kilogram force prove that kilograms are not units of mass? No. Does the existence of a pound force prove that pounds are not units of mass? No. Do you know that what they call the "engineering" system is, like SI, a coherent system of units, as that term is used in the jargon of metrology? Do you know what that means? It means that there is only one unit for each different quantity, and that that unit is a unitary combination of the base units. Do you know the implications of that? That means that this system which they identify as the "engineering system" doesn't have any pints or gallons, no Btu or horsepower, no ounces or inches or miles or furlongs or fortnights. That's the only system that includes slugs--the one that doesn't have a whole lot of our commonly used units. What's more, that's only one of several such systems. Some of the others include the absolute fps system (the one with pounds for mass and poundals for force), the gravitational inch-pound-second system (no slugs here either; the unit of mass in this system, equal to 1 lbf·s²/in, or about the weight (a synonym for mass in this case, of course) of the heaviest NFL linemen today, is probably most often used without a name, though some NASA engineers have called it a "slinch"). Unless you disagree with Newton's Second Law, F=ma, Force [pounds] and mass [slugs] are related by acceleration [of gravity, for example]. You can just as easily say that force [poundals] and mass [pounds] are related by the acceleration [ft/s²]. It's every bit as true--and that system has been around a lot longer than the one with slugs. Furthermore, Newton didn't use symbol to express this, and he only said that force is proportional to mass times the acceleration of gravity. Symbolically, that's F = kma. Using this more general form, you can use any units you want to for each of these quantities, as long as you make the constant k fit with them. That's what must be done in the system generally called the English "engineering" system of units (Sears and Zemansky are idiots who aren't even able to understand the distinction between the system identified by this term in normal usage by most other people, and the one they call by this name which everyone else calls the "gravitational" or "gravimetric" fps system of units). In what everyone else calls the engineering system of units, pounds are used for mass and pounds force for force, and for Newton's Second Law we have F = kma where k = 0.03108095 = 1/32.1740. So, my weight [240 pounds] = my mass [7.45 slugs]*[gravity of 32.2 ft/sec^2]. ----------------------------------------- If you want to argue, go ahead. I cited a source as you asked. Now you choose to disagree with that source. Go read my quotes from NIST and from ASTM on the subject of human body weight in my longest reply to Richard Clark. My final comment: Does a newton[force] = a kilogram[mass]?? No. The numbers won't even be the same, unless you happen to be some place outside this world where the local acceleration of free fall is pretty close to 1 m/s². Furthermore, a kilogram force doesn't equal a kilogram either, not even if you call it by its other name, the kilopond. They measure different quantities. On earth, the numbers associated with each might be close to each other if the force you are measuring is the force due to gravity--but that doesn't make them "equal." Now here's something else for you to chew on. Just to show that there have been people using metric units who have been bound and determined to show that they can be every bit as silly as those using English units, look up a unit of mass known variously as the hyl, or by the German acronym TME, or as the mug, which is derived from another of its names, the "metric slug." This is the mass which a kilogram of force will accelerate at a rate of 1 m/s². In that system, the base units are the meter for length, the second for time, and the kilogram for force, with the hyl as the coherent, derived unit of mass. Note that in that system, kilograms are never units of mass. Exactly the same as that system which Sears and Zemansky mislabel the "engineering" system, a similar limited subset of the English units rather than of the metric units, in which subset the pound is not used as a unit of mass. Granted, that system probably never did see extensive use, and I haven't seen it used at all recently. But it's mere existence shoots all kinds of holes in your theories related to Newton's second law, and all the different names that the mass unit in this system has been given are clear evidence that it has been independently reinvented many times over. The existence of the hyl does not prove that kilograms are not units of mass. The existence of the slug does not prove that pounds are not units of mass. -------------- Conclusion: Force = pounds, or newtons, or dynes. Mass = Slug, or kilogram, or gram Acceleration = ft/sec^2, or m/sec^2, or cm/sec^2 ---------------------------------------- Don't be so everbearing! It does not become you or enhance you statements. It's a tradeoff I'm willing to accept as the price of getting the message through some awfully thick skulls. After all, there are a lot of dearly held memories of favorite teachers out there, and it's awfully hard for anyone to admit that some favorite might actually have led them astray. For example, what about all those pounds you see in the grocery store? You've been ignoring them for a long time, haven't you? Or are you really so god-awful stupid as to think that when we buy and sell goods by "weight" we'd want to measure some quantity that varies with location? PHASE II Now, let's move on to Phase II of our examination of Sears and Zemansky. Once again, I'll use the 1970 edition. Feel free to jump in as show us that they said essentially the same thing in 1956. Francis Weston Sears and Mark W. Zemansky, University Physics, Addison-Wesley, 4th ed., 1970. [page 228 (formula changed to one line)]: If the system undergoes a temperature change dt, the specific heat capacity c of the system is defined as the ratio of the heat dQ to the product of the mass m and temperature change dt; thus c = dQ/(m dt) The specific heat capacity of water can be taken to be 1 cal g-1 (C°)-1 or 1 Btu lb-1 (F°)-1 for most practical purposes. Tell me, what exactly does "lb" mean in this quote? Hints: 1. Look at what they tell you the denominator is in words. That would the first quantity identified as part of the "product." 2. Look at the unit in the same position as "lb" in the calories formula. [page 230] Mechanical engineers frequently use the British thermal unit (Btu), defined as the quantity of heat required to raise the temperature of 1 lb (mass) of water from 63°F to 64°F. The following relations hold: 1 Btu = 778.3 ft lb = 252.0 cal = 1055 J. How much water? [page 232] The quantity of heat per unit mass that must be supplied to a material at its melting point to convert it completely to a liquid at the same temperature is called the heat of fusion of the material. The quantity of heat per unit mass that must be supplied to a material at its boiling point to convert it completely to a gas a the same temperature is called the heat of vaporization of the material. Heats of fusion and vaporization are expressed in calories per gram, or Btu per pound. Thus the heat of fusion of ice is about 80 cal g^-1 or 144 Btu lb^-1. The heat of vaporization of water (at 100°C) is 539 cal g^-1 or 970 Btu lb^-1. Some heats of fusion and vaporization are listed in Table 16-2. Now, it doesn't take a whole lot of genius to figure out what the quantities are which are measured in those units with the -1 exponents, does it? But you don't even have to guess. Sears and Zemansky come right out and tell you. For you and some of the other slow-witted folks in this thread, here's a hint: Look for the seventh word in each of the first two sentences, that little word sandwiched in between the words "unit" and "that." Did you find it? Do you notice anything strange here? Something different from that textbook which Keith described for us, which used "lbm" for pounds mass and "lbf" for pounds force? Sears and Zemansky, earlier in the book, use the word "pound" and the symbol "lb" for units of force. But here they are using the word "pound" and the symbol "lb" for units of mass. I feel sorry for you if you had to learn physics from idiots like this. But that still doesn't excuse your ignorance half a century later; you've had lots of opportunities in the intervening years to figure out the truth on your own. Gene Nygaard Time flies like an arrow; fruit flies like a banana. |
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